{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Image Space Projection using Autoencoders\n",
    "![](./images/faces.gif)\n",
    "\n",
    "In this example we are going to autoencode the faces of the olivetti dataset and try to reconstruct them back."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.io\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython.display import Image, display"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Checking whether there is an H2O instance running at http://localhost:54321. connected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div style=\"overflow:auto\"><table style=\"width:50%\"><tr><td>H2O cluster uptime:</td>\n",
       "<td>2 hours 1 min</td></tr>\n",
       "<tr><td>H2O cluster version:</td>\n",
       "<td>3.11.0.99999</td></tr>\n",
       "<tr><td>H2O cluster version age:</td>\n",
       "<td>9 hours and 8 minutes </td></tr>\n",
       "<tr><td>H2O cluster name:</td>\n",
       "<td>arno</td></tr>\n",
       "<tr><td>H2O cluster total nodes:</td>\n",
       "<td>1</td></tr>\n",
       "<tr><td>H2O cluster free memory:</td>\n",
       "<td>13.47 Gb</td></tr>\n",
       "<tr><td>H2O cluster total cores:</td>\n",
       "<td>12</td></tr>\n",
       "<tr><td>H2O cluster allowed cores:</td>\n",
       "<td>12</td></tr>\n",
       "<tr><td>H2O cluster status:</td>\n",
       "<td>locked, healthy</td></tr>\n",
       "<tr><td>H2O connection url:</td>\n",
       "<td>http://localhost:54321</td></tr>\n",
       "<tr><td>H2O connection proxy:</td>\n",
       "<td>None</td></tr>\n",
       "<tr><td>Python version:</td>\n",
       "<td>2.7.12 final</td></tr></table></div>"
      ],
      "text/plain": [
       "--------------------------  ----------------------\n",
       "H2O cluster uptime:         2 hours 1 min\n",
       "H2O cluster version:        3.11.0.99999\n",
       "H2O cluster version age:    9 hours and 8 minutes\n",
       "H2O cluster name:           arno\n",
       "H2O cluster total nodes:    1\n",
       "H2O cluster free memory:    13.47 Gb\n",
       "H2O cluster total cores:    12\n",
       "H2O cluster allowed cores:  12\n",
       "H2O cluster status:         locked, healthy\n",
       "H2O connection url:         http://localhost:54321\n",
       "H2O connection proxy:\n",
       "Python version:             2.7.12 final\n",
       "--------------------------  ----------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import h2o\n",
    "from h2o.estimators.deeplearning import H2OAutoEncoderEstimator\n",
    "h2o.init()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "http://www.cl.cam.ac.uk/research/dtg/attarchive/facedatabase.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--2016-10-23 01:11:47--  http://www.cl.cam.ac.uk/Research/DTG/attarchive/pub/data/att_faces.tar.Z\n",
      "Resolving www.cl.cam.ac.uk (www.cl.cam.ac.uk)... 2001:630:212:200::80:14, 128.232.0.20\n",
      "Connecting to www.cl.cam.ac.uk (www.cl.cam.ac.uk)|2001:630:212:200::80:14|:80... connected.\n",
      "HTTP request sent, awaiting response... 301 Moved Permanently\n",
      "Location: http://www.cl.cam.ac.uk/research/dtg/attarchive/pub/data/att_faces.tar.Z [following]\n",
      "--2016-10-23 01:11:47--  http://www.cl.cam.ac.uk/research/dtg/attarchive/pub/data/att_faces.tar.Z\n",
      "Reusing existing connection to [www.cl.cam.ac.uk]:80.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 4075767 (3.9M) [application/x-compress]\n",
      "Saving to: ‘att_faces.tar.Z’\n",
      "\n",
      "att_faces.tar.Z     100%[===================>]   3.89M  2.55MB/s    in 1.5s    \n",
      "\n",
      "2016-10-23 01:11:49 (2.55 MB/s) - ‘att_faces.tar.Z’ saved [4075767/4075767]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "!wget -c http://www.cl.cam.ac.uk/Research/DTG/attarchive/pub/data/att_faces.tar.Z"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "orl_faces/s31/10.pgm\n",
      "orl_faces/s31/1.pgm\n",
      "orl_faces/s31/2.pgm\n",
      "orl_faces/s31/3.pgm\n",
      "orl_faces/s31/4.pgm\n",
      "orl_faces/s31/5.pgm\n",
      "orl_faces/s32/\n",
      "orl_faces/s32/6.pgm\n",
      "orl_faces/s32/7.pgm\n",
      "orl_faces/s32/8.pgm\n",
      "orl_faces/s32/9.pgm\n",
      "orl_faces/s32/10.pgm\n",
      "orl_faces/s32/1.pgm\n",
      "orl_faces/s32/2.pgm\n",
      "orl_faces/s32/3.pgm\n",
      "orl_faces/s32/4.pgm\n",
      "orl_faces/s32/5.pgm\n",
      "orl_faces/s33/\n",
      "orl_faces/s33/6.pgm\n",
      "orl_faces/s33/7.pgm\n",
      "orl_faces/s33/8.pgm\n",
      "orl_faces/s33/9.pgm\n",
      "orl_faces/s33/10.pgm\n",
      "orl_faces/s33/1.pgm\n",
      "orl_faces/s33/2.pgm\n",
      "orl_faces/s33/3.pgm\n",
      "orl_faces/s33/4.pgm\n",
      "orl_faces/s33/5.pgm\n",
      "orl_faces/s34/\n",
      "orl_faces/s34/6.pgm\n",
      "orl_faces/s34/7.pgm\n",
      "orl_faces/s34/8.pgm\n",
      "orl_faces/s34/9.pgm\n",
      "orl_faces/s34/10.pgm\n",
      "orl_faces/s34/1.pgm\n",
      "orl_faces/s34/2.pgm\n",
      "orl_faces/s34/3.pgm\n",
      "orl_faces/s34/4.pgm\n",
      "orl_faces/s34/5.pgm\n",
      "orl_faces/s35/\n",
      "orl_faces/s35/6.pgm\n",
      "orl_faces/s35/7.pgm\n",
      "orl_faces/s35/8.pgm\n",
      "orl_faces/s35/9.pgm\n",
      "orl_faces/s35/10.pgm\n",
      "orl_faces/s35/1.pgm\n",
      "orl_faces/s35/2.pgm\n",
      "orl_faces/s35/3.pgm\n",
      "orl_faces/s35/4.pgm\n",
      "orl_faces/s35/5.pgm\n",
      "orl_faces/s36/\n",
      "orl_faces/s36/6.pgm\n",
      "orl_faces/s36/7.pgm\n",
      "orl_faces/s36/8.pgm\n",
      "orl_faces/s36/9.pgm\n",
      "orl_faces/s36/10.pgm\n",
      "orl_faces/s36/1.pgm\n",
      "orl_faces/s36/2.pgm\n",
      "orl_faces/s36/3.pgm\n",
      "orl_faces/s36/4.pgm\n",
      "orl_faces/s36/5.pgm\n",
      "orl_faces/s37/\n",
      "orl_faces/s37/6.pgm\n",
      "orl_faces/s37/7.pgm\n",
      "orl_faces/s37/8.pgm\n",
      "orl_faces/s37/9.pgm\n",
      "orl_faces/s37/10.pgm\n",
      "orl_faces/s37/1.pgm\n",
      "orl_faces/s37/2.pgm\n",
      "orl_faces/s37/3.pgm\n",
      "orl_faces/s37/4.pgm\n",
      "orl_faces/s37/5.pgm\n",
      "orl_faces/s38/\n",
      "orl_faces/s38/6.pgm\n",
      "orl_faces/s38/7.pgm\n",
      "orl_faces/s38/8.pgm\n",
      "orl_faces/s38/9.pgm\n",
      "orl_faces/s38/10.pgm\n",
      "orl_faces/s38/1.pgm\n",
      "orl_faces/s38/2.pgm\n",
      "orl_faces/s38/3.pgm\n",
      "orl_faces/s38/4.pgm\n",
      "orl_faces/s38/5.pgm\n",
      "orl_faces/s39/\n",
      "orl_faces/s39/6.pgm\n",
      "orl_faces/s39/7.pgm\n",
      "orl_faces/s39/8.pgm\n",
      "orl_faces/s39/9.pgm\n",
      "orl_faces/s39/10.pgm\n",
      "orl_faces/s39/1.pgm\n",
      "orl_faces/s39/2.pgm\n",
      "orl_faces/s39/3.pgm\n",
      "orl_faces/s39/4.pgm\n",
      "orl_faces/s39/5.pgm\n",
      "orl_faces/s40/\n",
      "orl_faces/s40/6.pgm\n",
      "orl_faces/s40/7.pgm\n",
      "orl_faces/s40/8.pgm\n",
      "orl_faces/s40/9.pgm\n",
      "orl_faces/s40/10.pgm\n",
      "orl_faces/s40/1.pgm\n",
      "orl_faces/s40/2.pgm\n",
      "orl_faces/s40/3.pgm\n",
      "orl_faces/s40/4.pgm\n",
      "orl_faces/s40/5.pgm\n"
     ]
    }
   ],
   "source": [
    "!tar xzvf att_faces.tar.Z;rm att_faces.tar.Z;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now need some code to read pgm files.\n",
    "Thanks to [StackOverflow](http://stackoverflow.com/questions/7368739/numpy-and-16-bit-pgm) we have some code to leverage:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import re\n",
    "\n",
    "def read_pgm(filename, byteorder='>'):\n",
    "    \"\"\"Return image data from a raw PGM file as numpy array.\n",
    "\n",
    "    Format specification: http://netpbm.sourceforge.net/doc/pgm.html\n",
    "\n",
    "    \"\"\"\n",
    "    with open(filename, 'rb') as f:\n",
    "        buffer = f.read()\n",
    "    try:\n",
    "        header, width, height, maxval = re.search(\n",
    "            b\"(^P5\\s(?:\\s*#.*[\\r\\n])*\"\n",
    "            b\"(\\d+)\\s(?:\\s*#.*[\\r\\n])*\"\n",
    "            b\"(\\d+)\\s(?:\\s*#.*[\\r\\n])*\"\n",
    "            b\"(\\d+)\\s(?:\\s*#.*[\\r\\n]\\s)*)\", buffer).groups()\n",
    "    except AttributeError:\n",
    "        raise ValueError(\"Not a raw PGM file: '%s'\" % filename)\n",
    "    return np.frombuffer(buffer,\n",
    "                            dtype='u1' if int(maxval) < 256 else byteorder+'u2',\n",
    "                            count=int(width)*int(height),\n",
    "                            offset=len(header)\n",
    "                            ).reshape((int(height), int(width)))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "image = read_pgm(\"orl_faces/s12/6.pgm\", byteorder='<')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(112, 92)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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3j/pBNsV1hrmzwyEP3nP/bW1taT6fD+nYJV8sFiO9v7q60v7+fjkptY5U4MR7fIb9PWXc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iSBzM7HkUcCmZ3i0dHRQnuqsnZAZibDwXdISRAjqhPZTW25INL5Ei4RcG7NQnZowvyMS+VFPWAs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\nLWtfboHsttyW27L25f8HwPnCchgoPSEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f06b5e0e150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(image, plt.cm.gray)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import glob\n",
    "import os\n",
    "from collections import defaultdict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "images = glob.glob(\"orl_faces/**/*.pgm\")\n",
    "\n",
    "data = defaultdict(list)\n",
    "image_data = []\n",
    "for img in images:\n",
    "    _,label,_ = img.split(os.path.sep)\n",
    "    imgdata = read_pgm(img, byteorder='<').flatten().tolist()\n",
    "    data[label].append(imgdata)\n",
    "    image_data.append(imgdata)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's import it to H2O"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parse progress: |█████████████████████████████████████████████████████████████████████████████| 100%\n"
     ]
    }
   ],
   "source": [
    "faces = h2o.H2OFrame(image_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(400, 10304)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "faces.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from h2o.estimators.deeplearning import H2OAutoEncoderEstimator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "deeplearning Model Build progress: |██████████████████████████████████████████████████████████| 100%\n"
     ]
    }
   ],
   "source": [
    "model = H2OAutoEncoderEstimator( \n",
    "        activation=\"Tanh\", \n",
    "        hidden=[50], \n",
    "        l1=1e-4, \n",
    "        epochs=10\n",
    ")\n",
    "\n",
    "model.train(x=faces.names, training_frame=faces)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Details\n",
      "=============\n",
      "H2OAutoEncoderEstimator :  Deep Learning\n",
      "Model Key:  DeepLearning_model_python_1477202989522_3315\n",
      "Status of Neuron Layers: auto-encoder, gaussian distribution, Quadratic loss, 1,040,754 weights/biases, 13.0 MB, 4,000 training samples, mini-batch size 1\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div style=\"overflow:auto\"><table style=\"width:50%\"><tr><td><b></b></td>\n",
       "<td><b>layer</b></td>\n",
       "<td><b>units</b></td>\n",
       "<td><b>type</b></td>\n",
       "<td><b>dropout</b></td>\n",
       "<td><b>l1</b></td>\n",
       "<td><b>l2</b></td>\n",
       "<td><b>mean_rate</b></td>\n",
       "<td><b>rate_rms</b></td>\n",
       "<td><b>momentum</b></td>\n",
       "<td><b>mean_weight</b></td>\n",
       "<td><b>weight_rms</b></td>\n",
       "<td><b>mean_bias</b></td>\n",
       "<td><b>bias_rms</b></td></tr>\n",
       "<tr><td></td>\n",
       "<td>1</td>\n",
       "<td>10304</td>\n",
       "<td>Input</td>\n",
       "<td>0.0</td>\n",
       "<td></td>\n",
       "<td></td>\n",
       "<td></td>\n",
       "<td></td>\n",
       "<td></td>\n",
       "<td></td>\n",
       "<td></td>\n",
       "<td></td>\n",
       "<td></td></tr>\n",
       "<tr><td></td>\n",
       "<td>2</td>\n",
       "<td>50</td>\n",
       "<td>Tanh</td>\n",
       "<td>0.0</td>\n",
       "<td>0.0001</td>\n",
       "<td>0.0</td>\n",
       "<td>0.0007149</td>\n",
       "<td>0.0002085</td>\n",
       "<td>0.0</td>\n",
       "<td>0.0002015</td>\n",
       "<td>0.0198808</td>\n",
       "<td>0.0081105</td>\n",
       "<td>0.1122776</td></tr>\n",
       "<tr><td></td>\n",
       "<td>3</td>\n",
       "<td>10304</td>\n",
       "<td>Tanh</td>\n",
       "<td></td>\n",
       "<td>0.0001</td>\n",
       "<td>0.0</td>\n",
       "<td>0.0049906</td>\n",
       "<td>0.0019985</td>\n",
       "<td>0.0</td>\n",
       "<td>0.0003122</td>\n",
       "<td>0.0250720</td>\n",
       "<td>0.0011189</td>\n",
       "<td>0.0135767</td></tr></table></div>"
      ],
      "text/plain": [
       "    layer    units    type    dropout    l1      l2    mean_rate          rate_rms           momentum    mean_weight        weight_rms       mean_bias         bias_rms\n",
       "--  -------  -------  ------  ---------  ------  ----  -----------------  -----------------  ----------  -----------------  ---------------  ----------------  ---------------\n",
       "    1        10304    Input   0.0\n",
       "    2        50       Tanh    0.0        0.0001  0.0   0.000714904727101  0.000208491983358  0.0         0.000201470426078  0.019880823791   0.00811052732623  0.112277567387\n",
       "    3        10304    Tanh               0.0001  0.0   0.00499055125072   0.00199851859361   0.0         0.000312206130358  0.0250720083714  0.00111890472203  0.0135766752064"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "ModelMetricsAutoEncoder: deeplearning\n",
      "** Reported on train data. **\n",
      "\n",
      "MSE: 0.0150895996476\n",
      "RMSE: 0.122839731551\n",
      "Scoring History: \n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div style=\"overflow:auto\"><table style=\"width:50%\"><tr><td><b></b></td>\n",
       "<td><b>timestamp</b></td>\n",
       "<td><b>duration</b></td>\n",
       "<td><b>training_speed</b></td>\n",
       "<td><b>epochs</b></td>\n",
       "<td><b>iterations</b></td>\n",
       "<td><b>samples</b></td>\n",
       "<td><b>training_rmse</b></td>\n",
       "<td><b>training_mse</b></td></tr>\n",
       "<tr><td></td>\n",
       "<td>2016-10-23 01:12:20</td>\n",
       "<td> 1.372 sec</td>\n",
       "<td>0.00000 obs/sec</td>\n",
       "<td>0.0</td>\n",
       "<td>0</td>\n",
       "<td>0.0</td>\n",
       "<td>0.2161652</td>\n",
       "<td>0.0467274</td></tr>\n",
       "<tr><td></td>\n",
       "<td>2016-10-23 01:12:26</td>\n",
       "<td> 6.921 sec</td>\n",
       "<td>370 obs/sec</td>\n",
       "<td>5.0</td>\n",
       "<td>5</td>\n",
       "<td>2000.0</td>\n",
       "<td>0.1310679</td>\n",
       "<td>0.0171788</td></tr>\n",
       "<tr><td></td>\n",
       "<td>2016-10-23 01:12:31</td>\n",
       "<td>12.148 sec</td>\n",
       "<td>342 obs/sec</td>\n",
       "<td>9.0</td>\n",
       "<td>9</td>\n",
       "<td>3600.0</td>\n",
       "<td>0.1246621</td>\n",
       "<td>0.0155406</td></tr>\n",
       "<tr><td></td>\n",
       "<td>2016-10-23 01:12:32</td>\n",
       "<td>13.363 sec</td>\n",
       "<td>345 obs/sec</td>\n",
       "<td>10.0</td>\n",
       "<td>10</td>\n",
       "<td>4000.0</td>\n",
       "<td>0.1228397</td>\n",
       "<td>0.0150896</td></tr></table></div>"
      ],
      "text/plain": [
       "    timestamp            duration    training_speed    epochs    iterations    samples    training_rmse    training_mse\n",
       "--  -------------------  ----------  ----------------  --------  ------------  ---------  ---------------  --------------\n",
       "    2016-10-23 01:12:20  1.372 sec   0.00000 obs/sec   0         0             0          0.216165         0.0467274\n",
       "    2016-10-23 01:12:26  6.921 sec   370 obs/sec       5         5             2000       0.131068         0.0171788\n",
       "    2016-10-23 01:12:31  12.148 sec  342 obs/sec       9         9             3600       0.124662         0.0155406\n",
       "    2016-10-23 01:12:32  13.363 sec  345 obs/sec       10        10            4000       0.12284          0.0150896"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": []
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reconstructing the hidden space\n",
    "\n",
    "Now that we have our model trained, we would like to understand better what is the internal representation of this model? What makes a face a .. face? \n",
    "\n",
    "We will provide to the model some gaussian noise and see what is the results.\n",
    "\n",
    "We star by creating some gaussian noise:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gaussian_noise = np.random.randn(10304)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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STtJ70hkcGc4C6UShUIjqMsjGaQeivyMAbKvb7apcLqdQA3yO9OD0WKigL9AlDuD29lZJ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jPT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\nJRI1xf2w7TcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f06a9b60f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(gaussian_noise.reshape(112, 92), plt.cm.gray);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we import this data inside H2O. We have to first map the columns to the gaussian data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gaussian_noise_pre = dict(zip(faces.names,gaussian_noise))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parse progress: |█████████████████████████████████████████████████████████████████████████████| 100%\n"
     ]
    }
   ],
   "source": [
    "gaussian_noise_hf = h2o.H2OFrame.from_python(gaussian_noise_pre)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "deeplearning prediction progress: |███████████████████████████████████████████████████████████| 100%\n"
     ]
    }
   ],
   "source": [
    "result = model.predict(gaussian_noise_hf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 10304)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "img = result.as_data_frame()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "img_data = img.T.values.reshape(112, 92)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8zjJ2ex2w5/84BP8gi2U+2u6TcdBBEmyohyOdZahI2yIrjaw9D16tZvojfZ2m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\nZ6Q3CTHZVvTJu/mZTgg761g20xUETLPoXJ/2EsLxCYUOdAxu3VMemW8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MAAAg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f06a8f1ded0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(img_data, plt.cm.gray);"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
